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In a school having roll strength 286, the ratio of boys and girls is 8 : 5. If 22 more girls get admitted into the school, the ratio of boys and girls becomes
- a)12 : 7
- b)10 : 7
- c)8 : 7
- d)4 : 3
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a school having roll strength 286, the ratio of boys and girls is 8...
4:3
Boys : girls = 8 : 5; (let be boys = 8x; girl= 5x)
Total strength= 286; 8x + 5x= 286; 13x = 286;
Or, x= 286/13=22;
Boys= 176 and girls= 110;
22 more girls get admitted then number of girls become,
(5x + 22)= 110+22= 132;
Now, ratio of boys and girls
= 176 : 132 = 4 : 3
Boys : girls = 8 : 5; (let be boys = 8x; girl= 5x)
Total strength= 286; 8x + 5x= 286; 13x = 286;
Or, x= 286/13=22;
Boys= 176 and girls= 110;
22 more girls get admitted then number of girls become,
(5x + 22)= 110+22= 132;
Now, ratio of boys and girls
= 176 : 132 = 4 : 3
Most Upvoted Answer
In a school having roll strength 286, the ratio of boys and girls is 8...
Given information:
- Total roll strength of the school: 286
- Ratio of boys to girls: 8 : 5
To solve this question, we need to find the ratio of boys to girls after 22 more girls get admitted into the school.
Step 1: Finding the number of boys and girls in the school
Let's assume the number of boys in the school is 8x and the number of girls is 5x, where x is a common factor.
According to the given information, the total roll strength is 286.
So, 8x + 5x = 286
Simplifying the equation, we get 13x = 286
Therefore, x = 286/13
x ≈ 22
The number of boys in the school = 8x ≈ 8 * 22 = 176
The number of girls in the school = 5x ≈ 5 * 22 = 110
Step 2: Adding 22 more girls
After admitting 22 more girls, the total number of girls becomes 110 + 22 = 132.
Step 3: Finding the new ratio of boys to girls
The new ratio of boys to girls is 176 : 132.
To simplify the ratio, we can divide both sides by the greatest common divisor (GCD) of 176 and 132, which is 44.
176/44 : 132/44
4 : 3
Therefore, the new ratio of boys to girls after admitting 22 more girls is 4 : 3, which corresponds to option 'D'.
- Total roll strength of the school: 286
- Ratio of boys to girls: 8 : 5
To solve this question, we need to find the ratio of boys to girls after 22 more girls get admitted into the school.
Step 1: Finding the number of boys and girls in the school
Let's assume the number of boys in the school is 8x and the number of girls is 5x, where x is a common factor.
According to the given information, the total roll strength is 286.
So, 8x + 5x = 286
Simplifying the equation, we get 13x = 286
Therefore, x = 286/13
x ≈ 22
The number of boys in the school = 8x ≈ 8 * 22 = 176
The number of girls in the school = 5x ≈ 5 * 22 = 110
Step 2: Adding 22 more girls
After admitting 22 more girls, the total number of girls becomes 110 + 22 = 132.
Step 3: Finding the new ratio of boys to girls
The new ratio of boys to girls is 176 : 132.
To simplify the ratio, we can divide both sides by the greatest common divisor (GCD) of 176 and 132, which is 44.
176/44 : 132/44
4 : 3
Therefore, the new ratio of boys to girls after admitting 22 more girls is 4 : 3, which corresponds to option 'D'.
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In a school having roll strength 286, the ratio of boys and girls is 8 : 5. If 22 more girls get admitted into the school, the ratio of boys and girls becomesa)12 : 7b)10 : 7c)8 : 7d)4 : 3Correct answer is option 'D'. Can you explain this answer?
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